Turkish Journal of Mathematics
Article Title
On some sums at the $a$-points of the $k$-th derivatives of the Dirichlet $L$-functions
DOI
10.3906/mat-2002-98
Abstract
Let $L^{(k)}(s,\chi)$ be the $k$-th derivative of the Dirichlet L-function associated with a primitive character $\chi$ mod $q$ and $a$ be a complex number. The solutions of $L^{(k)}(s,\chi)=a$ are called $a$-points. In this paper, we give an asymptotic formula for the sums
Keywords
Dirichlet $L$-function, $a$-points, value-distribution
First Page
1544
Last Page
1560
Recommended Citation
MEKKAOUI, MOHAMMED; DERBAL, ABDALLAH; and MAZHOUDA, KAMEL
(2020)
"On some sums at the $a$-points of the $k$-th derivatives of the Dirichlet $L$-functions,"
Turkish Journal of Mathematics: Vol. 44:
No.
5, Article 3.
https://doi.org/10.3906/mat-2002-98
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss5/3
